1161216144 has 240 divisors, whose sum is σ = 3885822720. Its totient is φ = 319549440.

The previous prime is 1161216113. The next prime is 1161216211. The reversal of 1161216144 is 4416121611.

1161216144 is a `hidden beast` number, since 1 + 1 + 612 + 1 + 6 + 1 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 780169 + ... + 781655.

It is an arithmetic number, because the mean of its divisors is an integer number (16190928).

Almost surely, 2^1161216144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161216144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942911360).

1161216144 is an abundant number, since it is smaller than the sum of its proper divisors (2724606576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1161216144 is a wasteful number, since it uses less digits than its factorization.

1161216144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1549 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1161216144 is about 34076.6216635394. The cubic root of 1161216144 is about 1051.0846370207.

Adding to 1161216144 its reverse (4416121611), we get a palindrome (5577337755).

It can be divided in two parts, 116121 and 6144, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 1161216144 in words is "one billion, one hundred sixty-one million, two hundred sixteen thousand, one hundred forty-four".